[tex]5y^2[/tex] is equal to [tex]5^{(2x+1)}[/tex]
"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
"It is a mathematical statement which consists of equal symbol between two mathematical statements."
"It refers to the number of times a number is multiplied by itself."
For given question,
We have been given an equation [tex]5^x=y[/tex]
We need to find the value of [tex]5y^2[/tex]
[tex]\Rightarrow y = 5^x\\\\\Rightarrow y^2=(5^x)^2\\\\\Rightarrow y^2=5^{2x}\\\\\Rightarrow 5y^2=5\times 5^{2x}\\\\\Rightarrow 5y^2=5^1\times 5^{2x}\\\\\Rightarrow 5y^2=5^{(1+2x)}\\\\\Rightarrow 5y^2=5^{(2x+1)}[/tex]
Therefore, [tex]5y^2[/tex] is equal to [tex]5^{(2x+1)}[/tex]
Learn more about the exponents here:
brainly.com/question/12158740
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